Answer:
x=-1
Step-by-step explanation:
Answer:
Axis of Symmetry ⇨ x = -1
Step-by-step explanation:
⟺ From [tex]y=a(x-h)^2+k[/tex]
Our axis of symmetry equals the value of h.
In easier way, we can look at the graph and notice that the minimum point/vertex is at (-1,-9)
We use the value of h to answer.
Thus, the axis of symmetry is x = -1.
Formulas:
Here is some formulas that might benefit you in Quadratic Function.
[tex]h=-\frac{b}{2a}\\k=\frac{4ac-b^2}{4a}[/tex]
h = Axis of Symmetry (transformation of the graph with x-axis)
k = basically the transformation of the graph with y-axis.
6-9x=5x-9x+16 whats the value of x
Answer:
x = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6 - 9x = 5x - 9x + 16
Step 2: Solve for x
Combine like terms: 6 - 9x = -4x + 16Add 9x on both sides: 6 = 5x + 16Subtract 16 on both sides: -10 = 5xDivide 5 on both sides: -2 = xRewrite: x = -2Answer:
x= -2
Step-by-step explanation:
to find the value of x, we need to isolate it
first add 9x to both sides so that the equation looks like this
6 = 5x +16
then we need to subtract 16 from both sides to get
-10 = 5x
then if we divide everything by 5, you find that x = -2
hope this helps :)
When simplifying the following problem what calculation should be done first:
-2(6) + 3(5 - 4 + 2)
O multiplication
O addition
O subtraction
Jenny had driven for 2 h at a constant speed when round repairs forced her to reduce her speed by 10 mi/h for the remaining 1 h of her 152 mi trip. Find her original speed.
Answer:
Her original speed is 54 mi/h
Step-by-step explanation:
Here, we want to calculate the original speed
Let this be x mi/h
Mathematically;
distance = speed * time
So she drove at a speed of x mi/h for 2 hours, then (x-10) mi/h for the remaining 1 hour for a total 152 mi journey
Mathematically, we can add up the journey parts as
x(2) + (x-10)1 = 152
2x + x - 10 = 152
3x = 152 + 10
3x = 162
x = 162/3
x = 54 mi/h
In which model does the shaded portion represent 70%?
HELP DUE AT 11!!!! -2v + v = 3
Answer:
Step-by-step explanation:
solve for v
-2v + v = 3
combine like terms
-v = 3
divide by -1
v = -3
Answer:
Hey, your answer is v=3
Step-by-step explanation:
Find the value of the linear correlation coefficient "r". The data below consists of the scores from the first and second times that students took the SAT Exams. Use your calculator. First Score 860 980 1200 1040 1100 1200 1180 Second Score 940 1000 1240 1050 1260 1140 1100
Answer:
0.7851
Step-by-step explanation:
Given the data :
First Score
860
980
1200
1040
1100
1200
1180
Second Score
940
1000
1240
1050
1260
1140
1100
Using an online regression calculator, we can obtain the correlation :
The correlation Coefficient r obtained is : 0.7851.
This value of r obtained signifies a strong positive correlation between the first and second score.
Jacob is using his understanding of place value to divide the decimal 714.38 by the decimal 0.6 Which of the division problems shown could he solve to give him the same answer?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Dividend = 714.38[/tex]
[tex]Divisor = 0.6[/tex]
The options are not given. However, a possible solution to the problem is as follows:
[tex]Result = \frac{Dividend}{Divisor}[/tex]
Substitute values for Dividend and Divisor
[tex]Result = \frac{714.38}{0.6}[/tex]
Using understanding of place value, he can multiply the fraction by 10/10
[tex]Result = \frac{714.38 * 10}{0.6 * 10}[/tex]
[tex]Result = \frac{7143.8}{6}[/tex] -- This will give the same result as the original problem.
Another possible solution is by multiplying the original problem by 100/100 to eliminate decimals
[tex]Result = \frac{714.38*100}{0.6*100}[/tex]
[tex]Result = \frac{71438}{60}[/tex] -- This will also give the same result as the original problem.
Peil
5.
bo
The sum of three consecutive multiples of 7 is 777. Find these multiples.
(Hint: Three consecutive multiples of 7 are ‘x’, *x +7', *x+14)
Answer:
7*7*7
Step-by-step explanation:
Please help!!
I can’t seem to understand
Answer:
Obtuse and Isosceles (A and E)
Step-by-step explanation:
Here are definitions
Obtuse > 90 degrees
Scalene: All different sides
Equilateral: All same sides
Acute < 90 degrees
Isosceles: Two same side
Right = 90 degrees
Neal had 20 science questions to answer for homework. He finished 12 of the questions before leaving class. Which percent of homework does Neal have left to finish at home?
Answer:
40%
Step-by-step explanation:
12/20 *5 60/100 so he did 60% and there is only 40% he did not do.
What is m∠B?
There is a seven sided polygon ABCDEFG in which the measure of angle BCD is 148 degrees, the measure of angle DEF is 142 degrees, the measure of angle EFG is 130 degrees, the measure of angle FGA is 129 degrees, and the measure of angle GAB is 120 degrees. Angle CDE is a right angle.
A. 51°
B. 129°
C. 134°
D. 141°
The sum of angles in a polygon adds up to 180(n - 2), where n is the number of sides of the polygon
The measure of angle B is 141 degrees
The angles are given as:
[tex]\mathbf{\angle BCD = 148}[/tex]
[tex]\mathbf{\angle D EF = 142}[/tex]
[tex]\mathbf{\angle EFG = 130}[/tex]
[tex]\mathbf{\angle FGA = 129}[/tex]
[tex]\mathbf{\angle GAB = 120}[/tex]
[tex]\mathbf{\angle CDE = 90}[/tex]
So, the measure of angle B is calculated using:
[tex]\mathbf{\angle B + 148 + 142 + 130 + 129 + 120 + 90 = 180(n -2)}[/tex]
[tex]\mathbf{\angle B + 759 = 180(n -2)}[/tex]
Substitute 7 for n
[tex]\mathbf{\angle B + 759 = 180(7 -2)}[/tex]
[tex]\mathbf{\angle B + 759 = 180 \times 5}[/tex]
[tex]\mathbf{\angle B + 759 = 900}[/tex]
Make B the subject
[tex]\mathbf{\angle B = 900 - 759}[/tex]
[tex]\mathbf{\angle B = 141}[/tex]
Hence, the measure of angle B is 141 degrees
Read more about polygons at:
https://brainly.com/question/19023938
The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?
Answer:
y=-7
Step-by-step explanation:
y-3=-2(x+5)
distribute the -2 into the ( )
y -3= -2x -10
cancel to -2x
y- 3 = -2(0) -10
y-3 = -10
+3 +3
y= -7
Hope this helps!!
The y-intercept is -7 if the equation of the straight line is y - 3 = -2(x+5).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a straight line equation:
y - 3 = -2(x+5)
y - 3 = -2x - 10
Plug x = 0 to get the y-intercept
y - 3 = -2(0) - 10
y = -10 + 3
y = -7
Thus, the y-intercept is -7 if the equation of the straight line is y - 3 = -2(x+5).
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
Need help ASAP
Give the slope of y - 4 = 5(x-2) and a point on the line.
OA. The slope is 4 and (2, 5) is on the line.
O B. The slope is 2 and (5, 4) is on the line.
OC. The slope is 5 and (2, 4) is on the line.
OD. The slope is 5 and (-2, -4) is on the line
Answer:
The slope is 5 and (2, 4) is on the line
20 POINTS
urgent help due in 5 minutes.
Answer:
56548.67/942.47=60.0005
so 60 times
Step-by-step explanation:
2x + 15 = -21
Solve for X
Answer:
x = -18
Step-by-step explanation:
Answer:
X=-18
Step-by-step explanation:
Ok so subtract 15 from both sides
Step 1
2x+15=-21
-15 -15
Step 2
2x=-36
2x/2=36/2
You want to divide
And then you will get
X=-18
9. Your digital camera has a 512 megabyte memory card. You take pictures at two resolutions, a low resolution requiring 4 megabytes of memory per photo and a high resolution requiring 8 megabytes of memory per photo. Write an equation to model the amount of each kind of photo you can take.
Answer:
well, you can take 64 high-res shots, and if you dont take any high-res shots, you can take 128 low-res shots
Step-by-step explanation:
9514 1404 393
Answer:
4L +8H = 512
Step-by-step explanation:
If we let L represent the number of low-res photos, and H the number of high-res photos, then the amount of memory (in MB) required will be ...
4L +8H
An equation for the total number of photos that can be taken will be ...
4L +8H = 512
What will the new dimensions of the rectangle be after a dilation with a scale factor of 7/8 ?
help asap please !
Step-by-step explanation:
Original dimensions is 32 feet by 8 feet
32 * (7/8) = 28.
8 * (7/8) = 7.
Hence the new dimensions is 28 feet by 7 feet.
Answer:
28 feet by 7 feet
Step-by-step explanation:
It just is haha
someone help I have been stuck on this for 7 months now and haven't seen the sun in years
The sum of angles of a triangle equals the straight angle (180°), therefore:
3x + 12x + 1 + 16x - 7 = 180
31x-6=180
31x = 180 + 6
31x = 186
x = 186/31
x = 6
Answer: It's 31x + -6
Step-by-step explanation:
Add all the numbers with x together because they all have the same variable
Then add the -7 to 1 to get -6 since they both don't have variables and are the same
Lastly just put the equation together and there you go!:)
Hope you see the sun now
The tens digit of a two-digit number is one more than the units digit. The difference between this number and the reverse number is 1/5 of the reverse number. Find the number.
The two-digit number in which the tens digit of the number is one more than the units digit is 54.
What is the algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Let the unit digit be x. The tens digit of a two-digit number is one more than the units digit. Thus the unit digit is,
[tex]\rm \;tens\; digit=x+1[/tex]
Then the number is,
[tex]10(x+1)+x\\11x+10[/tex]
The reverse of this number is,
[tex]10x+x+1\\11x+1[/tex]
The difference between this number and the reverse number is 1/5 of the reverse number. Thus,
[tex]11x+10-(11x+1)=\dfrac{1}{5}(11x+1)\\9=\dfrac{1}{5}(11x+1)\\45=11x+1\\x=\dfrac{44}{11}\\x=4[/tex]
The unit digit is 4. Thus the tens digit is,
[tex](x+1)=4+1\\(x+1)=5[/tex]
Hence, the two-digit number in which the tens digit of the number is one more than the units digit is 54.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Answer:
54
Step-by-step explanation:
What are Equivalent Fractions?
What are Equivalent Ratios?
Answer:
equivalent fractions are fractions that are equal. example. 1/5 = 2/10
equivalent ratios are ratios that are equal. example. 2:4 = 4:8
Need 9 asap pls it’s eary
Answer:
u=4
v=2√3
Step-by-step explanation:
Sin(30°)=2/u
1/2=2/u
u=4
tan(30°)=2/v
√3/3=2/v
v=2√3
If jimmy has 3 papers and bob gives jimmy 336 papers then richard steals 124 papers how many papers does jimmy have?
Since Jimmy has 3 papers and Bob gave him 336. Richard steals 124 papers leaving Jimmy with 215 papers.
The equation looks like this:
[tex](3+336) - 124 = 215[/tex]
btw richards mean for stealing jimmy's papers :D
shyam saves 30% of his salary. If his expense is 14000, find his total income and savings.
Which of the following are partial products for 43x17 choose all that apply
Answer:
10 multiply 40, 10 multiply 3, 7 multiply 40, and 7 multiply 3.
Step-by-step explanation:
hope it helps!
A store pays $50 for a pair of shoes. The markup is 25%.
a. What is the selling price for the shoes?
Answer:
$62.50
Step-by-step explanation:
Answer:
$65.00
Step-by-step explanation:
Which statement correctly names the congruent triangles and justifies the reason for congruence?
Answer:
C
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
Triangle ABC matches up to EFD.
We know both triangles have right angles and we know the distance of the hypotenuse (5 units) and one of the legs (4.5 given). So, the justification is HL, not AAS.
please help im so confused
Answer:
the answer is B
Step-by-step explanation:
Emily is entering a bicycle race for charity. Her mother pledges $0.80 for every 0.25 mile she bikes. If Emily
bikes 7 miles, how much will her mother donate?
Her mother will donate $
Ok
Answer:
multiply 15 by 4. because for .25 to be a mile multiply by 4. then multiply that with $0.40. $24
Step-by-step explanation: hope that helps
evaluate f(-7). f(x)=3x^2
a) -441
b) -147
c) 78
d) 147
Answer:
a
Step-by-step explanation:
replace x with -7
Susie drank 2 3 liter of water Monday before going jogging. She drank 3 4 liter of water after her jog. How much water did Susie drink altogether? Write your answer as a mixed number